Statistical Properties of Interacting Bose Gases in Quasi-2D Harmonic Traps

TL;DR

This paper analytically investigates the statistical properties of quasi-2D and purely 2D Bose gases, revealing a continuous crossover in behavior and highlighting how interactions uniquely affect particle number fluctuations in lower dimensions.

Contribution

It provides an analytical framework for understanding the probability distribution and fluctuations of Bose gases in quasi-2D and 2D traps, emphasizing the effects of interactions.

Findings

Continuous crossover from quasi-2D to 2D statistical properties

Interactions significantly alter particle number fluctuations in 2D gases

Analytical expressions for condensate occupation and fluctuations

Abstract

The analytical probability distribution of the quasi-2D (and purely 2D) ideal and interacting Bose gas are investigated by using a canonical ensemble approach. Using the analytical probability distribution of the condensate, the statistical properties such as the mean occupation number and particle number fluctuations of the condensate are calculated. Researches show that there is a continuous crossover of the statistical properties from a quasi-2D to a purely 2D ideal or interacting gases. Different from the case of a 3D Bose gas, the interaction between atoms changes in a deep way the nature of the particle number fluctuations.